A study is conducted on the surface modification of synthetic woven textiles, using atmospheric-pressure plasma, for controlled adhesion for subsequent processing or direct applications. The relation between the woven structural characteristics, the plasma parameters during sample exposure and the treatment outcomes is explored, pointing to complex aspects associated to the heterogeneous nature of the permeable samples, from mechanical, electrical and chemical point of view. The results point to the plasma effect on shifting the equilibrium between the processes involved in the fluid flow across the woven sample, due to enhanced inter-fiber capillary forces and accelerated diffusion, resulting in improved fabrics dyeability.